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Solve the problem. Determine which of the following sets is a subspace of Pn for an appropriate value of n. A: All polynomials of the form p(t) = a + bt2, where a and b are in ℛ B: All polynomials of degree exactly 4, with real coefficients C: All polynomials of degree at most 4, with positive coefficients

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LammettHash

Only [tex]A[/tex] and [tex]B[/tex] form subspaces of [tex]P_2[/tex] and [tex]P_4[/tex], respectively.

[tex]C[/tex] does not form a subspace because it does not contain the zero vector.

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